106306228 has 48 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 43464960.

The previous prime is 106306201. The next prime is 106306247. The reversal of 106306228 is 822603601.

It is a super-3 number, since 3×106306228³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 106306196 and 106306205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71533 + ... + 73003.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2^106306228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106306228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

106306228 is an abundant number, since it is smaller than the sum of its proper divisors (116260172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106306228 is a wasteful number, since it uses less digits than its factorization.

106306228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 106306228 is about 10310.4911619185. The cubic root of 106306228 is about 473.7176536604.

Adding to 106306228 its reverse (822603601), we get a palindrome (928909829).

The spelling of 106306228 in words is "one hundred six million, three hundred six thousand, two hundred twenty-eight".